In this chapter, the following content will be discussed: Characteristics of a waiting-line system, arrival characteristics, waiting-line characteristics, service characteristics, measuring a queue’s performance. | LSM733-PRODUCTION OPERATIONS MANAGEMENT By: OSMAN BIN SAIF LECTURE 28 1 Summary of last Session Decision Trees CHAPTER : TRANSPORTATION MODELING Transportation Modeling Developing an Initial Solution The Northwest-Corner Rule The Intuitive Lowest Cost Method 2 Summary of last Session (Contd.) The Stepping-Stone Method Special Issues in Modeling Demand Not Equal to Supply Degeneracy 3 Agenda for this Session Characteristics of a Waiting-Line System Arrival Characteristics Waiting-Line Characteristics Service Characteristics Measuring a Queue’s Performance Queuing Costs 4 4 Agenda for this Session (Contd.) The Variety of Queuing Models Model A(M/M/1): Single-Channel Queuing Model with Poisson Arrivals and Exponential Service Times Model B(M/M/S): Multiple-Channel Queuing Model Model C(M/D/1): Constant-Service-Time Model Model D: Limited-Population Model 5 5 Agenda for this Session (Contd.) Other Queuing Approaches 6 6 Waiting Lines Often called queuing theory Waiting lines are common . | LSM733-PRODUCTION OPERATIONS MANAGEMENT By: OSMAN BIN SAIF LECTURE 28 1 Summary of last Session Decision Trees CHAPTER : TRANSPORTATION MODELING Transportation Modeling Developing an Initial Solution The Northwest-Corner Rule The Intuitive Lowest Cost Method 2 Summary of last Session (Contd.) The Stepping-Stone Method Special Issues in Modeling Demand Not Equal to Supply Degeneracy 3 Agenda for this Session Characteristics of a Waiting-Line System Arrival Characteristics Waiting-Line Characteristics Service Characteristics Measuring a Queue’s Performance Queuing Costs 4 4 Agenda for this Session (Contd.) The Variety of Queuing Models Model A(M/M/1): Single-Channel Queuing Model with Poisson Arrivals and Exponential Service Times Model B(M/M/S): Multiple-Channel Queuing Model Model C(M/D/1): Constant-Service-Time Model Model D: Limited-Population Model 5 5 Agenda for this Session (Contd.) Other Queuing Approaches 6 6 Waiting Lines Often called queuing theory Waiting lines are common situations Useful in both manufacturing and service areas 7 Common Queuing Situations Situation Arrivals in Queue Service Process Supermarket Grocery shoppers Checkout clerks at cash register Highway toll booth Automobiles Collection of tolls at booth Doctor’s office Patients Treatment by doctors and nurses Computer system Programs to be run Computer processes jobs Telephone company Callers Switching equipment to forward calls Bank Customer Transactions handled by teller Machine maintenance Broken machines Repair people fix machines Harbor Ships and barges Dock workers load and unload Table 8 8 This slide provides some reasons that capacity is an issue. The following slides guide a discussion of capacity. Characteristics of Waiting-Line Systems Arrivals or inputs to the system Population size, behavior, statistical distribution Queue discipline, or the waiting line itself Limited or unlimited in length, discipline of people or items in it The service facility Design, statistical .
