Service Manager Forecasting (traffic, orders, …) Determine the Level of Service (Newsboy) Estimate...
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![Page 1: Service Manager Forecasting (traffic, orders, …) Determine the Level of Service (Newsboy) Estimate Manpower Requirements Shift Scheduling (LP, IP) Assigning.](https://reader036.fdocuments.net/reader036/viewer/2022082613/5697bfae1a28abf838c9c950/html5/thumbnails/1.jpg)
Service Manager
Forecasting (traffic, orders, …) Determine the Level of Service
(Newsboy) Estimate Manpower Requirements Shift Scheduling (LP, IP) Assigning Shifts to Workers
(Assignment, LP) Job Sequencing and Scheduling
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Determine the Level of Service Choose Service Criteria (t.d.
Average Waiting Time or P(wait>T) P(wait) or P(balking) “Newsboy Problem” Probability Distribution of Demand Estimate Cost Under & Over Usually difficult => Service Level
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Manpower Requirements Experience Statistics Queueing Theory QTP, Armann Ingolfsson Simulation:
@Risk, Crystal Ball Simul8 ProModel
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Queueing Theory Analytical Models of Waiting Systems Markov-assumptions, i.e. expon (both
arrivals & service) <=> Poisson Memoryless Process! Open/Closed System (“Limited
Source”) Wait/Balk (“Limited Queue”) Steady State: Arrivals < Capacity
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Open Systems, M/M/s M/M/1 og M/M/s TEMPLATE.XLS Given: Arrival og cap. s*µ ,Ws=1/µ Steady State: U = Ls/s = / s*µ < 1 Key Results: L, Lq, W, Wq L = Lq + Ls, W = Wq + Ws Little: L = *W og Lq= *Wq
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Optimizing Waiting Systems Given (beside , µ): Cs og Cq Find economical no of servers s Difficult to estimate Cq, therefore
service level Other models, see G/G/s (approx) etc LIMITED_Q_TEMPLATE.XLS LIMITED_SOURCE_TEMPLATE.XLS
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Simulating Waiting Systems Simulation more realistic, “you can
always simulate”! Not limited to Markov assumptions Sometimes expensive model building Sometimes too great expectations MULTISERVERSIM.XLS Simul8, ProModel, …
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Shift Scheduling Scheduling shifts on days/weeks See p. 148 in Rardin Based on known manpower
requirements Ex p. 142 í W&A,
WorkerScheduling.xls, Work 5 days, off 2 days
Determine how many start at time t Min no of employees needed, LP
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Assigning shifts or tasks “Assignment”, see p 235- in W&A Transport Model with all RHS = 1 Assigning jobs to men/machines Swim Teams, Exam Shedules, Fishing
Vessels Landings, … See p 58 in Rardin “Crew Scheduling”, See p 572 in Rardin Assigning Shifts: Employees grade shifts
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Job Sequencing See p 609- in Rardin Orders or Batches Given: Processing Times, Due Dates Criteria: Flow and/or Due Dates Rules: FCFS, SPT, Slack, EDD Complexity: n jobs to m machines,
min setup time, …