# Nearly Optimal Competitive Online Replacement Policies

@article{ElYaniv1997NearlyOC, title={Nearly Optimal Competitive Online Replacement Policies}, author={Ran El-Yaniv and Richard M. Karp}, journal={Math. Oper. Res.}, year={1997}, volume={22}, pages={814-839} }

This paper studies the online replacement problem. In this problem an online player is engaged at each time in one activity. Associated with each activity are a changeover cost and flow rate. While involved in an activity the player's budget is depleted at the activity's flow rate. The player can switch to a new activity whenever it is offered but he pays a changeover cost. The player's goal is to decide when to switch activities so that his total cost is minimized. Typical applications are…

## 22 Citations

### Competitive Analysis of Two Special Online Device Replacement Problems

- Computer ScienceJournal of Computer Science and Technology
- 2008

The two-stage model with and without the interest rate respectively is explored and the risk-reward model is introduced to analyze this problem and improve the competitive ratio performance.

### New Results on Online Replacement Problem

- BusinessWINE
- 2005

This paper restudy the on-line replacement problem by using the competitive analysis and proves that it is r-competitive when M∈[c,d].

### On Two Special Cases of Online Device Replacement Problem

- Computer ScienceThe First International Symposium on Data, Privacy, and E-Commerce (ISDPE 2007)
- 2007

The risk-reward model is introduced to analyze this problem and improve the competitive ratio and a better tight lower bound can not be improved is obtained.

### Competitive Optimal On-Line Leasing

- EconomicsAlgorithmica
- 1999

It is shown here, for the leasing problem, that the interest rate factor reduces the uncertainty involved and the optimal deterministic competitive ratio is 1 + (1+ i)(1-1/k)(1 - k(i/1+i)) , a decreasing function of the interest i (for all reasonable values of i ).

### Competitive Analysis for Online Leasing Problem with Compound Interest Rate

- Economics
- 2011

We introduce the compound interest rate into the continuous version of the online leasing problem and discuss the generalized model by competitive analysis. On the one hand, the optimal deterministic…

### Online leasing problem with price fluctuations and the second-hand transaction

- Business, Computer Science2019 International Conference on Industrial Engineering and Systems Management (IESM)
- 2019

An online leasing algorithm is presented for solving the online leasing problem considering both price fluctuations and the second-hand transaction and it is proved to be the optimal online algorithm.

### Online leasing problem with price fluctuations under the consumer price index

- Business, EconomicsJ. Comb. Optim.
- 2018

This paper presents an optimal online strategy for solving the online leasing problem in which the lessee does not know how long he will use the required equipment, and bound the price fluctuations by the definition of the consumer price index.

### Competitive analysis of the online financial lease problem

- Business, EconomicsEur. J. Oper. Res.
- 2016

### On the on-line rent-or-buy problem in probabilistic environments

- Computer ScienceJ. Glob. Optim.
- 2007

The interest rate and tax rate are introduced into the continuous model of Fujiwra and Iwama and the forward difference method is used in different probabilistic environments to consider discrete leasing models both with and without the interest rate.

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