A machine shop has five machines, located at (3, 3), (3, 7), (8, 4), (12, 3),and (14, 6), respectively. A new machine is to be located in the shop with thefollowing expected numbers of loads per hour transported to the existingmachines: , 1/8 1/8 1/4 1 1/6, and . Material is transported along parallel aisles, so a rectilinear distance measure is appropriate. Find the coordinates of the optimal locationof the new machine to minimize the weighted sum of the rectilinear distances fromthe new machine to the existing machines

A machine shop has five machines, located at (3, 3), (3, 7), (8, 4), (12, 3),and (14, 6), respectively. A new machine is to be located in the shop with thefollowing expected numbers of loads per hour transported to the existingmachines: , 1/8 1/8 1/4 1 1/6, and . Material is transported along parallel aisles, so a rectilinear distance measure is appropriate. Find the coordinates of the optimal locationof the new machine to minimize the weighted sum of the rectilinear distances fromthe new machine to the existing machines

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.5: Analytic Steady-state Queueing Models

Problem 18P

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