Many people (even quite a lot of managers and directors) think that productivity improvement involves cutting costs. It can - and certainly cutting costs should improve productivity. However this should not form the basis of a productivity improvement strategy.
Concentrating on cutting costs tends to lead to, at best, sub-optimal changes in the organisation and, at worst, a disastrous s loss of vital skills and expertise.
Productivity improvement should not form part of an organisation's strategy - it should BE the strategy. The aim should be to make revolutionary and/or incremental changes to what the organisation does - and how it does it - in pursuit of improved quality, resilience and overall excellence.
Such changes should then drive improvements in revenue and lowering of costs (pro rata to output). So cost-cutting is the result of an effective productivity improvement strategy, not the basis of it.