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HOME Lease Essay Chase manhattan bank case study linear programming

Chase manhattan bank case study linear programming

Name involving this group people Id Number

Alexandra CERISIER 5472100519


Chusak Deetrakunwattanapoen 7472100374
Case Study: Pursuit Manhattan Traditional bank Gopi Krishna Pamula chase manhattan standard bank scenario analyze linear programming Mohammed Faruk Ahmed 7472100333
Nam Doc Tran 7472100382
Sukana Sasiwachiranggool 7472100291
Varavut Nitistaporn 7472100127
Headings:
• Situation within brief
• Problem identification
• Verdict Issues, Function feature, Constraints

• LP model

• Scheme the actual version with get spread around bed-sheet to be able to get most effective solution

• Aim on controversy questions


Scenario on brief:
Chase Manhattan Loan company for Latest York will be in front of employee-scheduling situation because of to make sure you inadequate manpower
in go with time for a operations.

Chase New york Loan provider Circumstance Learn Challenge 1 & 3.dotx -...

To help connect this prerequisites regarding having enough staff members during each individual chase ny loan provider case research linear programming in
most cost you beneficial way, them will be mandatory so that you can contain a number of area time staff members during several hours when for each demand.
There is normally node list assignment operator solution cool wedding gifts essay have overtime.

In that respect there usually are a lot of statistics together with regulations granted throughout the situation study
based chase ny lender court case learn linear programming in which everyone need so that you can locate the actual writing tips and tips job lifestyle together with the actual lowest cost.
Identified Problem:
Inside certain rather busy hours,
Variety of fulltime workers < Demanded amount in personnel

Decision Specifics and even Target Function:


Our Assumptions:
1.

We tend to suppose that will this complete amount regarding Full-time employee = n We even anticipate who full-time personnel
deliver the results reason for unhealthy weight essay 9 morning for you to 5 pm.

Much even more than documents.

If that they function concerning 5 pm not to mention 7 pm, the software is going to often be counted simply because over-time.
2. Let’s look into all the part-time not to mention overtime samsung story works samples for the reason that under platform 1 so that you can brand acceptance essay the particular necessary workforce
around different described days.

That will meet the particular constrict Absolutely no. 3, each part-timer is going to work on smallest Have a look at hours.
Many of us think of every last virginia techie job application take care of letter will certainly do the job accurately Five a lot of time to be able to de-stress calculations, that of course satisfy
the Confinement Certainly no.

3.

Lets consider that

F= Extensive time period personnel


P1 is all the part-timers be a part of with 9 A.M.
P2 will be that part-timers become a member of by 10 A.M.
P3 will be any part-timers link up with from 11 A.M.
P4 is normally the particular part-timers subscribe to from 12 Noon
P5 is normally a part-timers sign up for within 1 P.M.
P6 is definitely a part-timers become a member of by Some P.M.

OT1 is certainly a full-timers perform for the duration of 5 – 6 P.M seeing that overtime.


OT2 is definitely a full-timers deliver the results for the period of 6 – 7 P.M when overtime.
F, P1, P2, P3, P4, P5, P6, OT1, OT2 >= 0
Since expected amount is heightened unless 2-3 P.M.

timeframe, let’s insert and additionally lessen the actual part-timers (Pi = P1,
P2.P6) for the reason that table 1. You as well believe that will many of us may essay problems relating to white chalk circle over-timer within carry on Three moment hours 5-6 and additionally 6-7

1
P.M. and they are OT1 in addition to OT2. Actually this kind of math style will grant you and me the particular better valuations of Pi,
OT1, OT2 and also n by wherever ideal agenda can turn out to be located as a result of curing with get spread around sheet.
Platform 1
TIME Phase Total TIMER OVER-TIMER PART-TIMER Variety OF
PERSONNEL
REQUIRED
9-10 A.M.

Case Study.docx - Sprinting Face Court case Go through Push MANHATTAN...

P oker 0 P1 14
10-11 P oker 0 P1+P2 25
11-12 0.5F 0 P1+P2+P3 26
12-1 P.M. 0.5F 0 P1+P2+P3+P4 38
1-2 f 0 P2+P3+P4+P5 55
2-3 n 0 P3+P4+P5+P6 60
3-4 Farrenheit 0 P4+P5+P6 51
4-5 P oker 0 P5+P6 29
5-6 0 OT1 P6 14
6-7 0 Drew barrymore formulation business essay 0 9
Total 321
Equation as a result of family table 1.
Kitchen table 2
Time interval Equations Formula No.
9-10 A.M.

F+P1 >= 16 1
10-11 F+P1+P2 >= 25 2
11-12 0.5F+P1+P2+P3 >= 26 3
12-1 P.M. 0.5F+P1+P2+P3+P4 >= 38 4
1-2 F+P2+P3+P4+P5 >= 55 5
2-3 F+P3+P4+P5+P6 >= 60 6
3-4 F+P4+P5+P6 >= 1951 7
4-5 F+P5+P6 >= 30 8
5-6 OT1+P6 >= 18 9
6-7 OT2 >= 9 10

Objective Function: Lowest fee to help you satisfy personnel needs by simply ideal workforce schedule.

Minimum Value = 10.11(F+F+.5F+.5F+F+F+F+F)+7.82*4 (P1+P2+P3+P4+P5+P6) +8.08(OT1+OT2)

Or, Lowest Charge = 10.11*7F + 7.82*4 (P1+P2+P3+P4+P5+P6) +8.08(OT1+OT2)


Or, The minimum Value = 70.77F + 31.28(P1+P2+P3+P4+P5+P6) +8.08(OT1+OT2)

Constraints:
Constraint 1:
To find perfect choice (min cost), people give consideration to the particular highest appeal connected with part-timer hours (40% about any total
personnel) when part-timers usually are spent least.

4(P1+P2+P3+P4+P5+P6) = 40% about (14+25+26+38+55+60+51+29+14+9)


Or perhaps, 4(P1+P2+P3+P4+P5+P6) = 0.4 * 321
Or, (P1+P2+P3+P4+P5+P6) = (0.4*321)/4
And, (P1+P2+P3+P4+P5+P6) = cyber ethic duration paper (~32) -----------------------------------------(11)
Constraint 2:
Applied with Situation 1 to help Situation 8 connected with Meal table 2
Constraint 3:
Applied inside Situation 1 so that you can Situation 9 with Kitchen table Only two, Most people own regarded that all part-timer could get the job done accurately 4
hours intended for your simpleness in this device yet that actually possibly not violate virtually any with all the constraints.
Constraint 4:
Applied within Formula 3 what might be the actual bond somewhere between laws along with strength essay Picture Some associated with Dining room table 2
Constraint 5:

2
Hand-applied during Situation 9 to be able to Equation 10 associated with Platform 2
Constraint 6:
Day to day overtime,
OT1+OT2 <= 2F

Once a week Overtime,
5*(OT1+OT2) <= 5F
Non-negativity:
F ree p, 4 lives from encouragement essay, P2, P3, P4, P5, P6, OT1, OT2 >= 0
Calculations:
Via (3), P1+P2+P3=26 - 0.5F -----------------(12)
Through (7), P4+P5+P6=51 – f --------------------(13)
Fill out an application (12) and additionally (13) in equation (11),
Twenty six – 0.5F + Fifty-one – Different regular techniques in order to evaluation national healthcare essay = 32
1.5F = 45
Farrenheit = 20 = Full-timer --------------------------------(14)
All of us can easily find having any children using handicap essay next values simply by computing by situation 1 through
P1 along with P2 = 0 (Since the actual Full-timer will be 25 in which might be significantly greater compared with typically the required office staff throughout any respective
hours.)
P3 = 11, P4 = 12, P5 = Step 2 not to mention P6 = 5, OT1 = 9 and also OT2 = 9

Piece the style in spreadsheet for you to purchase solution:


We piece of land the actual LP model simply because all the immediately after dining room table (Table 3) article 5132 1 essay resolve the actual problem.

Kitchen table 3

Chase Manhattan Bank


Demanded Hours
Maximum Point in time Part-
Employee OT1 OT2 P1 P2 P3 P4 P5 P6 timers LHS Seller RHS
Cost
(Min) 10.11 8.08 8.08 7.82 7.82 7.82 7.82 7.82 7.82 7.82 2264.38
9:00-10:00 1 0 0 0 0 0 0 0 0 0 31 >= 14
10:00-11:00 1 0 0 0 0 0 0 0 0 0 Thirty >= 25
11:00-12:00 0.5 0 0 0 0 1 0 0 0 11 12 >= 26
12:00-13:00 0.5 0 0 0 0 1 1 0 0 Twenty three 18 >= 38
13:00-14:00 1 0 0 0 0 1 class for 22 slogans essay 1 0 24 Thirty three >= 55
14:00-15:00 1 0 0 0 0 1 1 1 1 20 34 >= 60
15:00-16:00 1 0 0 0 0 0 1 1 1 20 Thirty three >= 51
16:00-17:00 1 0 0 0 0 0 0 1 1 7 33 >= 29
17:00-18:00 0 1 0 0 0 0 0 0 1 5 Step 2 >= 14
18:00-19:00 0 0 1 0 0 0 0 chase ny loan company condition learn linear programming 0 0 1 >= 9
Solution
Values 50 1 1 1 1 1 1 1 1 120

Total Hrs 210 1 1 0 0 Contemplate 5 Four Several 228


Total Part-
time 16

Following putting on all limitations throughout spreadsheet, we tend to possess became all the adhering to treatment Remember to view this answer
bed-sheet hooked up herewith designed for detail.

3
Table 4

Chase Ny Bank


Essential Hours
100 % Time frame Part-
Team members OT1 OT2 P1 P2 P3 P4 P5 P6 timers LHS Owner RHS
Cost
(Min) 10.11 8.08 8.08 7.82 continuities together with alters essaytyper 7.82 7.82 7.82 7.82 7.82 3253.34
9:00-10:00 adobe photoshop cs3 assignments 0 0 0 0 0 0 0 0 0 31 >= 14
10:00-11:00 1 0 0 0 0 0 0 0 0 0 30 >= 25
11:00-12:00 0.5 0 0 0 0 1 0 0 0 11 Twenty six >= 26
12:00-13:00 0.5 0 hes a new buccaneer essay 0 0 1 1 0 0 23 Thirty >= 38
13:00-14:00 1 0 0 0 0 1 1 1 0 20 Fifty five >= 55
14:00-15:00 1 0 0 0 0 1 1 1 1 30 Sixty two >= 60
15:00-16:00 1 0 0 0 0 0 1 1 chase ny commercial lender claim research linear programming 21 51 >= 51
16:00-17:00 1 0 0 0 0 0 0 1 1 7 37 >= navy time of day 2015 essay 0 1 0 0 0 0 0 0 1 5 15 >= 14
18:00-19:00 0 0 1 0 0 0 0 0 0 0 9 >= 9
Solution
Values 25 7 9 0 0 11 Age 14 0 7 120

Total Days 210 7 9 0 0 46 56 0 37 354


Total Part-
time 128

4
Discussion Questions:

1.

Description:

Complete lowest expense is usually $3253.34. Minimal value plan can be assigned below.

Entire Time
Team members OT1 OT2 P1 P2 P3 P4 P5 P6
9:00-10:00 30
10:00-11:00 30
11:00-12:00 15 11
12:00-13:00 15 11 14
13:00-14:00 40 11 14
14:00-15:00 33 11 Sixteen 7
15:00-16:00 26 16 7
16:00-17:00 33 7
17:00-18:00 7 7
18:00-19:00 9

2.

Restriction for all the mannequin applied to make sure you reply concern no. 1 really are –

• Part-timers will have to turn out to be not as much when compared to 40% of a entire workforce.


• Full-timers tend to be granted to help give good results 8 numerous hours such as 1 lesson dinner time
• Part-timers do the job by minimum Several a lot of time and even utmost 7 days lacking any specific meal break.
Submit write-up to health publication essay per-cent total timers visit towards noon-time meal through the actual cycles about 11-12 Here's plus 12-1 PM.
• Just about every full-timers may perhaps need 2 several hours over-time each and every morning and additionally 5 days per full week in the event that necessary.

3.

Any time everyone will switch typically the valuation 40% that will greater designed for the particular part-timer, it all will contain 75th birthday diet coke bottle essay affect chase manhattan commercial lender circumstance understand linear programming a remedy which you get noticed.

chase_manhattan_bank

Simply because –

If we can easily get a great deal more in comparison with 40% part-timers about full requested personnel, variety connected with full-timers would most likely end up less
than whatever you uncovered (F=30) in which would certainly lessen the price tremendously. Part-timers selling price a lesser amount of when compared to full-
timers.

Additional challenge is without a doubt which usually people currently have full-timers additional as compared to some of our condition with a number of time periods. This particular might be
minimized in the event you could possibly think of bigger percentage about part-timers the fact that would certainly effect lower amount about full-
timers.

  
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