Develop an optimization model that helps v-mobile

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Reference no: EM133869616

Case: In 2001, many European mobile phone markets reached saturation. Because of this, mobile phone operators started to shift their focus from growth and market share to cutting costs. One way to do this is to reduce spending on international calls. These calls are routed through network operating companies called carriers. The carriers charge per call-minute for each destination and often use a discount on total business volume to price their services. A mobile phone operator must decide how to allocate destinations to carriers. Get in touch with us for online assignment help service!

V-Mobile, a mobile phone operator in Denmark, must make such a decision for a T-month planning horizon when it has C carriers to choose from, D customers for its customers' calls, and there are I price intervals for a typical carrier. (These intervals define a carrier's discount structure.) The inputs include the following:

The price per call-minute for destination d from carrier c in price interval i in month t

The (forecasted) number of call minutes for destination d in month t

The lower and upper limits for carrier c in price interval i

The lower and upper limits on capacity (number of call-minutes) for carrier c in month t

The penalty per call-minute (to discourage poor-quality options) for carrier c to destination d in month t

V-Mobile wants to find the least-cost way of routing its call minutes through the various carriers. Of course, it hopes to take advantage of the carriers' price discounts.

The number of call minutes routed through carrier c to destination d in price interval i in month t

A binary variable for each carrier c and price interval i combination that equals one if the total call minutes for this carrier (over all destinations and months) falls in price interval i, and equals zero otherwise.

Develop an optimization model that helps V-Mobile allocate its international calls cost-efficiently. Then write a brief memo stating.

How V-Mobile should implement your results for this particular version of the problem and

How would the model need to be modified for other potential problem parameters?

Reference no: EM133869616

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