Cross-Selling in a Call Center with a Heterogeneous Customer Population Technical Appendix
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چکیده
This technical appendix is dedicated to the completion of the proof of Proposition 1, whose sketch was given in §A of [1], as well as to the proof of the auxiliary results that were stated in the same section without proof. Completion of Proof for Proposition 1 Following our proof sketch in §A of [1] we show that there exists δ0 ≥ 0 such that for any sequence of initial states {ξn} ⊆ Ξ with |ξn| → ∞:
منابع مشابه
Cross-Selling in a Call Center with a Heterogeneous Customer Population
Cross-selling is becoming an increasingly prevalent practice in call centers, due, in part, to its unique capability to allow firms to dynamically segment their callers and customize their product offerings accordingly. This paper considers a call center with cross-selling capability that serves a pool of customers that are differentiated in terms of their revenue potential and delay sensitivit...
متن کاملTechnical Appendix for: When Promotions Meet Operations: Cross-Selling and Its Effect on Call-Center Performance
In this technical appendix we provide proofs for the various results stated in the manuscript titled: “When promotions meet operations: Cross-selling and its effect on call-center performance”. We start the technical appendix with the construction of the sample paths for all related processes. Specifically, our construction follows a strong approximation approach (see for example [7] and [8]). ...
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e-companion for: When Promotions Meet Operations: Cross-Selling and Its Effect on Call-Center Performance
In this e-companion we provide proofs for some of the results stated in the manuscript titled: “When promotions meet operations: Cross-selling and its effect on call-center performance”. Specifically, we provide the sample path construction under the TP policy (in §A), and the key steps in the proof of Theorem 3.1 under Condition 1 (in §B). Due to space limitations, the proofs of Theorem 3.1 un...
متن کاملTechnical Appendix for: When Promotions Meet Operations: Cross-Selling and Its Effect on Call-Center Performance
Here, we use a time change of the processes N7(·) and N5(·) to construct service completions with cross-selling candidates that are followed by actual cross-selling. These two processes are used if the threshold is non-negative. In this case, a service completion is followed by a cross-selling offer whenever the queue is equal to 0 or when it is greater than 0 but smaller than the threshold. We...
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