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Lecture Fundamentals of operations management (4e): Chapter 11S - Davis, Aquilano, Chase

Chapter supplement 11 "Waiting line theory". This chapter introduce the major characteristics that exist in waiting lines and describe how they can impact a customer’s waiting time, identify the various constraints and/or conditions that waiting line theory and its associated equations require for the results to be valid, present waiting line theory in the form of a set of equations that represent various types of waiting line configurations that can be encountered. | F O U R T H E D I T I O N Waiting Line Theory © The McGraw-Hill Companies, Inc., 2003 supplement 11 DAVIS AQUILANO CHASE PowerPoint Presentation by Charlie Cook Supplement Objectives Introduce the major characteristics that exist in waiting lines and describe how they can impact a customer’s waiting time. Identify the various constraints and/or conditions that waiting line theory and its associated equations require for the results to be valid. Present waiting line theory in the form of a set of equations that represent various types of waiting line configurations that can be encountered. © The McGraw-Hill Companies, Inc., 2003 S11– Waiting Line Characteristics Major Components The source population The way customers arrive at the service facility The physical line itself The way customers are selected from the line The characteristics of the service facility itself The condition of the customers when they exit the system © The McGraw-Hill Companies, Inc., 2003 S11– Framework for Viewing Waiting Line Structures Exhibit S11.1 © The McGraw-Hill Companies, Inc., 2003 S11– Population Source Finite Population Limited size of the customer pool Each customer leaving or returning to the pool changes the probability of a customer requiring service. Infinite Population A customer pool so large that subtractions or additions to the pool do not significantly affect system probabilities. © The McGraw-Hill Companies, Inc., 2003 S11– Arrival Characteristics Pattern of Arrivals Controllable or uncontrollable Size of Arrival Units One at a time or in batches Distribution Pattern Constant or statistically distributed rates of arrivals Degree of Patience Whether the arrival stays in line or leaves Balking or reneging © The McGraw-Hill Companies, Inc., 2003 S11– Arrival Characteristics in Queues Exhibit S11.2 © The McGraw-Hill Companies, Inc., 2003 S11– Physical Features of Lines Length Infinite potential length limited line capacity Number of Lines Single or . | F O U R T H E D I T I O N Waiting Line Theory © The McGraw-Hill Companies, Inc., 2003 supplement 11 DAVIS AQUILANO CHASE PowerPoint Presentation by Charlie Cook Supplement Objectives Introduce the major characteristics that exist in waiting lines and describe how they can impact a customer’s waiting time. Identify the various constraints and/or conditions that waiting line theory and its associated equations require for the results to be valid. Present waiting line theory in the form of a set of equations that represent various types of waiting line configurations that can be encountered. © The McGraw-Hill Companies, Inc., 2003 S11– Waiting Line Characteristics Major Components The source population The way customers arrive at the service facility The physical line itself The way customers are selected from the line The characteristics of the service facility itself The condition of the customers when they exit the system © The McGraw-Hill Companies, Inc., 2003 S11– Framework